Solving Equations with Square and Cubed Roots

This video tutorial covers solving equations using square and cubed roots. It begins with an introduction to the learning targets, which include using square and cubed roots to solve equations. The video then explains the process of isolating the variable and taking the square root of both sides, providing examples to illustrate the method. It also covers solving equations using cubed roots, highlighting the differences in solutions compared to square roots. The tutorial concludes with a summary of the key steps for both methods.

What is the first step in solving equations using square roots?

• Subtract the square root from both sides

• Add the square root to both sides

• Isolate the variable

• Take the square root of both sides

What does x equal when x squared minus 49 equals 0?

• x = ±7

• x = 0

• x = 1

• x = ±49

What is the result for x squared plus 25 equals 0?

• x = ±25

• x = 0

• No solution

• x = ±5

How do you handle the equation 3/4 x squared equals 48?

• Multiply by 4/3

• Divide by 3/4

• Subtract 48

• Add 48

What is the value of x when 16x squared equals 25?

• x = ±25/16

• x = ±4/5

• x = ±16/25

• x = ±5/4

What is the difference in results when taking square roots versus cubed roots?

• Both can have multiple solutions

• Square roots can have one or two solutions, cubed roots always have one

• Neither can have multiple solutions

• Square roots always have one solution, cubed roots can have one or two

What does x equal when x cubed minus 125 equals 0?

• x = 0

• x = 5

• x = -5

• x = ±5

What is the solution for x cubed plus 64 equals 0?

• x = 4

• x = -4

• x = ±4

• No solution

How do you solve the equation 125x cubed equals 8?

• x = 2/5

• x = 125/8

• x = 5/2

• x = 8/125

What does x equal when x cubed minus 10 equals -226?

• x = ±6

• x = 6

• No solution

• x = -6